40275983160 has 480 divisors, whose sum is σ = 166747941360. Its totient is φ = 8663832576.

The previous prime is 40275983149. The next prime is 40275983179. The reversal of 40275983160 is 6138957204.

40275983160 is a `hidden beast` number, since 4 + 0 + 27 + 598 + 31 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2691459 + ... + 2706381.

It is a 1-persistent number, because it is pandigital, but 2⋅40275983160 = 80551966320 is not.

Almost surely, 2^40275983160 is an apocalyptic number.

40275983160 is a gapful number since it is divisible by the number (40) 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 40275983160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83373970680).

40275983160 is an abundant number, since it is smaller than the sum of its proper divisors (126471958200).

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

40275983160 is a wasteful number, since it uses less digits than its factorization.

40275983160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14977 (or 14957 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40275983160 in words is "forty billion, two hundred seventy-five million, nine hundred eighty-three thousand, one hundred sixty".