31451032400400 has 180 divisors, whose sum is σ = 110224451971140. Its totient is φ = 8303902848000.

The previous prime is 31451032400377. The next prime is 31451032400477. The reversal of 31451032400400 is 400423015413.

It is a happy number.

31451032400400 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 10 + 3 + 240 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6771319934976 + 24679712465424 = 2602176^2 + 4967868^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×31451032400400³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42885895 + ... + 43613094.

Almost surely, 2^{31451032400400} is an apocalyptic number.

31451032400400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31451032400400 is an abundant number, since it is smaller than the sum of its proper divisors (78773419570740).

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

31451032400400 is a wasteful number, since it uses less digits than its factorization.

31451032400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86499114 (or 86499100 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 31451032400400 its reverse (400423015413), we get a palindrome (31851455415813).

The spelling of 31451032400400 in words is "thirty-one trillion, four hundred fifty-one billion, thirty-two million, four hundred thousand, four hundred".