31040054351040 has 3584 divisors, whose sum is σ = 132137091072000. Its totient is φ = 6142120427520.

The previous prime is 31040054351023. The next prime is 31040054351123. The reversal of 31040054351040 is 4015345004013.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31040054350989 and 31040054351007.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 320000560272 + ... + 320000560368.

It is an arithmetic number, because the mean of its divisors is an integer number (36868608000).

Almost surely, 2^{31040054351040} is an apocalyptic number.

31040054351040 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 31040054351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66068545536000).

31040054351040 is an abundant number, since it is smaller than the sum of its proper divisors (101097036720960).

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

31040054351040 is a wasteful number, since it uses less digits than its factorization.

31040054351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 31040054351040 its reverse (4015345004013), we get a palindrome (35055399355053).

The spelling of 31040054351040 in words is "thirty-one trillion, forty billion, fifty-four million, three hundred fifty-one thousand, forty".