40700061715600 has 135 divisors (see below), whose sum is σ = 113748786014187. Its totient is φ = 13954000650240.

The previous prime is 40700061715553. The next prime is 40700061715603. The reversal of 40700061715600 is 651716000704.

The square root of 40700061715600 is 6379660.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6429247075216 + 34270814640384 = 2535596^2 + 5854128^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40700061715600.

It is not an unprimeable number, because it can be changed into a prime (40700061715603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 893129616 + ... + 893175184.

Almost surely, 2^{40700061715600} is an apocalyptic number.

40700061715600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40700061715600 is the 6379660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40700061715600

40700061715600 is an abundant number, since it is smaller than the sum of its proper divisors (73048724298587).

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

40700061715600 is an frugal number, since it uses more digits than its factorization.

40700061715600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91170 (or 45583 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 40700061715600 in words is "forty trillion, seven hundred billion, sixty-one million, seven hundred fifteen thousand, six hundred".