40135824960 has 1344 divisors, whose sum is σ = 181498890240. Its totient is φ = 7254835200.

The previous prime is 40135824913. The next prime is 40135824973. The reversal of 40135824960 is 6942853104.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×40135824960² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 978922540 + ... + 978922580.

Almost surely, 2^40135824960 is an apocalyptic number.

40135824960 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 40135824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90749445120).

40135824960 is an abundant number, since it is smaller than the sum of its proper divisors (141363065280).

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

40135824960 is a wasteful number, since it uses less digits than its factorization.

40135824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 40135824960 in words is "forty billion, one hundred thirty-five million, eight hundred twenty-four thousand, nine hundred sixty".