40113261600 has 144 divisors (see below), whose sum is σ = 130669886592. Its totient is φ = 10688578560.

The previous prime is 40113261571. The next prime is 40113261637. The reversal of 40113261600 is 616231104.

40113261600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3481449 + ... + 3492951.

It is an arithmetic number, because the mean of its divisors is an integer number (907429768).

Almost surely, 2^40113261600 is an apocalyptic number.

40113261600 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 40113261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65334943296).

40113261600 is an abundant number, since it is smaller than the sum of its proper divisors (90556624992).

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

40113261600 is a wasteful number, since it uses less digits than its factorization.

40113261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12979 (or 12966 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 40113261600 its reverse (616231104), we get a palindrome (40729492704).

The spelling of 40113261600 in words is "forty billion, one hundred thirteen million, two hundred sixty-one thousand, six hundred".