40216291600 has 135 divisors (see below), whose sum is σ = 99669337551. Its totient is φ = 15593990400.

The previous prime is 40216291579. The next prime is 40216291627. The reversal of 40216291600 is 619261204.

The square root of 40216291600 is 200540.

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 3817756944 + 36398534656 = 61788^2 + 190784^2 .

It is a super-2 number, since 2×40216291600² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148399465 + ... + 148399735.

Almost surely, 2^40216291600 is an apocalyptic number.

40216291600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40216291600 is the 200540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40216291600

40216291600 is an abundant number, since it is smaller than the sum of its proper divisors (59453045951).

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

40216291600 is an equidigital number, since it uses as much as digits as its factorization.

40216291600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 40216291600 by its product of nonzero digits (5184), we get a square (208481255654400 = 14438880²).

The spelling of 40216291600 in words is "forty billion, two hundred sixteen million, two hundred ninety-one thousand, six hundred".