40264516512 has 288 divisors, whose sum is σ = 128746485504. Its totient is φ = 11829196800.

The previous prime is 40264516469. The next prime is 40264516543. The reversal of 40264516512 is 21561546204.

40264516512 is a `hidden beast` number, since 4 + 0 + 2 + 645 + 1 + 6 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40264516512² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50519698 + ... + 50520494.

It is an arithmetic number, because the mean of its divisors is an integer number (447036408).

Almost surely, 2^40264516512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40264516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64373242752).

40264516512 is an abundant number, since it is smaller than the sum of its proper divisors (88481968992).

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

40264516512 is a wasteful number, since it uses less digits than its factorization.

40264516512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 40264516512 in words is "forty billion, two hundred sixty-four million, five hundred sixteen thousand, five hundred twelve".