40742299897728 has 256 divisors, whose sum is σ = 127228302028800. Its totient is φ = 11388677529600.

The previous prime is 40742299897709. The next prime is 40742299897753. The reversal of 40742299897728 is 82779899224704.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80523358 + ... + 81027746.

It is an arithmetic number, because the mean of its divisors is an integer number (496985554800).

Almost surely, 2^{40742299897728} is an apocalyptic number.

40742299897728 is a gapful number since it is divisible by the number (48) 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 40742299897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63614151014400).

40742299897728 is an abundant number, since it is smaller than the sum of its proper divisors (86486002131072).

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

40742299897728 is a wasteful number, since it uses less digits than its factorization.

40742299897728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505901 (or 505889 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 78.

The spelling of 40742299897728 in words is "forty trillion, seven hundred forty-two billion, two hundred ninety-nine million, eight hundred ninety-seven thousand, seven hundred twenty-eight".