40001091600 has 240 divisors, whose sum is σ = 130680008960. Its totient is φ = 10456473600.

The previous prime is 40001091517. The next prime is 40001091601. The reversal of 40001091600 is 619010004.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (40001091601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26863656 + ... + 26865144.

Almost surely, 2^40001091600 is an apocalyptic number.

40001091600 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 40001091600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65340004480).

40001091600 is an abundant number, since it is smaller than the sum of its proper divisors (90678917360).

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

40001091600 is a wasteful number, since it uses less digits than its factorization.

40001091600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 40001091600 in words is "forty billion, one million, ninety-one thousand, six hundred".