40742092800 has 510 divisors, whose sum is σ = 151427374868. Its totient is φ = 10829168640.

The previous prime is 40742092799. The next prime is 40742092817. The reversal of 40742092800 is 829024704.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 132710247 + ... + 132710553.

Almost surely, 2^40742092800 is an apocalyptic number.

40742092800 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 40742092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75713687434).

40742092800 is an abundant number, since it is smaller than the sum of its proper divisors (110685282068).

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

40742092800 is an frugal number, since it uses more digits than its factorization.

40742092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 40742092800 in words is "forty billion, seven hundred forty-two million, ninety-two thousand, eight hundred".