40816742400 has 1560 divisors, whose sum is σ = 186804601280. Its totient is φ = 8599633920.

The previous prime is 40816742383. The next prime is 40816742429. The reversal of 40816742400 is 424761804.

40816742400 is a `hidden beast` number, since 408 + 1 + 6 + 7 + 4 + 240 + 0 = 666.

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

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, 1103155182 + ... + 1103155218.

Almost surely, 2^40816742400 is an apocalyptic number.

40816742400 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 40816742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93402300640).

40816742400 is an abundant number, since it is smaller than the sum of its proper divisors (145987858880).

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

40816742400 is a wasteful number, since it uses less digits than its factorization.

40816742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 40816742400 in words is "forty billion, eight hundred sixteen million, seven hundred forty-two thousand, four hundred".