375982769111040 has 4896 divisors, whose sum is σ = 1766322623179296. Its totient is φ = 73057393704960.

The previous prime is 375982769111029. The next prime is 375982769111071. The reversal of 375982769111040 is 40111967289573.

375982769111040 is a `hidden beast` number, since 3 + 7 + 598 + 27 + 6 + 9 + 1 + 1 + 10 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 248284813787136 + 127697955323904 = 15757056^2 + 11300352^2 .

It is a tau number, because it is divible by the number of its divisors (4896).

It is a super-2 number, since 2×375982769111040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1948097249184 + ... + 1948097249376.

It is a 1-persistent number, because it is pandigital, but 2⋅375982769111040 = 751965538222080 is not.

Almost surely, 2^{375982769111040} is an apocalyptic number.

375982769111040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375982769111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883161311589648).

375982769111040 is an abundant number, since it is smaller than the sum of its proper divisors (1390339854068256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

375982769111040 is a wasteful number, since it uses less digits than its factorization.

375982769111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 375982769111040 in words is "three hundred seventy-five trillion, nine hundred eighty-two billion, seven hundred sixty-nine million, one hundred eleven thousand, forty".