40051392437952 has 336 divisors, whose sum is σ = 138955238959680. Its totient is φ = 10767215886336.

The previous prime is 40051392437933. The next prime is 40051392437963. The reversal of 40051392437952 is 25973429315004.

It is a happy number.

40051392437952 is a `hidden beast` number, since 4 + 0 + 0 + 513 + 9 + 2 + 4 + 3 + 79 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×40051392437952² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260184624 + ... + 260338512.

Almost surely, 2^{40051392437952} is an apocalyptic number.

40051392437952 is a gapful number since it is divisible by the number (42) 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 40051392437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69477619479840).

40051392437952 is an abundant number, since it is smaller than the sum of its proper divisors (98903846521728).

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

40051392437952 is a wasteful number, since it uses less digits than its factorization.

40051392437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157728 (or 157715 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 40051392437952 in words is "forty trillion, fifty-one billion, three hundred ninety-two million, four hundred thirty-seven thousand, nine hundred fifty-two".