40138650316800 has 1560 divisors, whose sum is σ = 170617490988032. Its totient is φ = 9137111040000.

The previous prime is 40138650316759. The next prime is 40138650316819. The reversal of 40138650316800 is 861305683104.

40138650316800 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 86 + 503 + 1 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×40138650316800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15734475525 + ... + 15734478075.

Almost surely, 2^{40138650316800} is an apocalyptic number.

40138650316800 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 40138650316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85308745494016).

40138650316800 is an abundant number, since it is smaller than the sum of its proper divisors (130478840671232).

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

40138650316800 is a wasteful number, since it uses less digits than its factorization.

40138650316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 40138650316800 its reverse (861305683104), we get a palindrome (40999955999904).

The spelling of 40138650316800 in words is "forty trillion, one hundred thirty-eight billion, six hundred fifty million, three hundred sixteen thousand, eight hundred".