375273905040 has 640 divisors, whose sum is σ = 1409966899200. Its totient is φ = 91393505280.

The previous prime is 375273904961. The next prime is 375273905093. The reversal of 375273905040 is 40509372573.

375273905040 is a `hidden beast` number, since 3 + 7 + 52 + 7 + 3 + 90 + 504 + 0 = 666.

It is a super-3 number, since 3×375273905040³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 505078909 + ... + 505079651.

It is an arithmetic number, because the mean of its divisors is an integer number (2203073280).

Almost surely, 2^375273905040 is an apocalyptic number.

375273905040 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 375273905040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704983449600).

375273905040 is an abundant number, since it is smaller than the sum of its proper divisors (1034692994160).

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

375273905040 is a wasteful number, since it uses less digits than its factorization.

375273905040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 375273905040 in words is "three hundred seventy-five billion, two hundred seventy-three million, nine hundred five thousand, forty".