31200415104 has 128 divisors (see below), whose sum is σ = 83584781280. Its totient is φ = 10311598080.

The previous prime is 31200415069. The next prime is 31200415121. The reversal of 31200415104 is 40151400213.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×31200415104² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41215494 + ... + 41216250.

Almost surely, 2^31200415104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31200415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41792390640).

31200415104 is an abundant number, since it is smaller than the sum of its proper divisors (52384366176).

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

31200415104 is a wasteful number, since it uses less digits than its factorization.

31200415104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 31200415104 its reverse (40151400213), we get a palindrome (71351815317).

The spelling of 31200415104 in words is "thirty-one billion, two hundred million, four hundred fifteen thousand, one hundred four".