40397784064 has 99 divisors (see below), whose sum is σ = 88920715863. Its totient is φ = 18330470400.

The previous prime is 40397784043. The next prime is 40397784079. The reversal of 40397784064 is 46048779304.

The square root of 40397784064 is 200992.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70748899 + ... + 70749469.

Almost surely, 2^40397784064 is an apocalyptic number.

40397784064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

40397784064 is the 200992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40397784064

40397784064 is an abundant number, since it is smaller than the sum of its proper divisors (48522931799).

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

40397784064 is an frugal number, since it uses more digits than its factorization.

40397784064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 40397784064 in words is "forty billion, three hundred ninety-seven million, seven hundred eighty-four thousand, sixty-four".