40189398513264 has 1120 divisors, whose sum is σ = 158962303761408. Its totient is φ = 9499908096000.

The previous prime is 40189398513223. The next prime is 40189398513389. The reversal of 40189398513264 is 46231589398104.

40189398513264 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 9 + 3 + 98 + 513 + 26 + 4 = 666.

It is a super-2 number, since 2×40189398513264² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 828947904 + ... + 828996384.

Almost surely, 2^{40189398513264} is an apocalyptic number.

40189398513264 is a gapful number since it is divisible by the number (44) 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 40189398513264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79481151880704).

40189398513264 is an abundant number, since it is smaller than the sum of its proper divisors (118772905248144).

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

40189398513264 is a wasteful number, since it uses less digits than its factorization.

40189398513264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48609 (or 48588 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 40189398513264 in words is "forty trillion, one hundred eighty-nine billion, three hundred ninety-eight million, five hundred thirteen thousand, two hundred sixty-four".