31045155650400 has 576 divisors, whose sum is σ = 103934510890560. Its totient is φ = 8046496972800.

The previous prime is 31045155650387. The next prime is 31045155650401. The reversal of 31045155650400 is 405655154013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31045155650401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4880543220 + ... + 4880549580.

It is an arithmetic number, because the mean of its divisors is an integer number (180441859185).

Almost surely, 2^{31045155650400} is an apocalyptic number.

31045155650400 is a gapful number since it is divisible by the number (30) 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 31045155650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51967255445280).

31045155650400 is an abundant number, since it is smaller than the sum of its proper divisors (72889355240160).

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

31045155650400 is a wasteful number, since it uses less digits than its factorization.

31045155650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6859 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 31045155650400 in words is "thirty-one trillion, forty-five billion, one hundred fifty-five million, six hundred fifty thousand, four hundred".