431110061044000 has 192 divisors, whose sum is σ = 1140769156861152. Its totient is φ = 159171852288000.

The previous prime is 431110061043967. The next prime is 431110061044001. The reversal of 431110061044000 is 440160011134.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1600518493456 + 429509542550544 = 1265116^2 + 20724612^2 .

It is a super-2 number, since 2×431110061044000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (431110061044001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1217506980 + ... + 1217861020.

Almost surely, 2^{431110061044000} is an apocalyptic number.

431110061044000 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 431110061044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570384578430576).

431110061044000 is an abundant number, since it is smaller than the sum of its proper divisors (709659095817152).

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

431110061044000 is a wasteful number, since it uses less digits than its factorization.

431110061044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377496 (or 377478 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 431110061044000 in words is "four hundred thirty-one trillion, one hundred ten billion, sixty-one million, forty-four thousand".