40821387264 has 702 divisors, whose sum is σ = 147028318944. Its totient is φ = 11287019520.

The previous prime is 40821387253. The next prime is 40821387287. The reversal of 40821387264 is 46278312804.

It is a happy number.

40821387264 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 1 + 387 + 264 = 666.

It is a super-2 number, since 2×40821387264² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1316818929 + ... + 1316818959.

Almost surely, 2^40821387264 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 40821387264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73514159472).

40821387264 is an abundant number, since it is smaller than the sum of its proper divisors (106206931680).

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

40821387264 is an frugal number, since it uses more digits than its factorization.

40821387264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 40821387264 in words is "forty billion, eight hundred twenty-one million, three hundred eighty-seven thousand, two hundred sixty-four".