31001003411040 has 192 divisors, whose sum is σ = 116849936145600. Its totient is φ = 7631016210432.

The previous prime is 31001003411011. The next prime is 31001003411051. The reversal of 31001003411040 is 4011430010013.

31001003411040 is a `hidden beast` number, since 310 + 0 + 1 + 0 + 0 + 341 + 10 + 4 + 0 = 666.

It is a super-2 number, since 2×31001003411040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275949925 + ... + 276062244.

It is an arithmetic number, because the mean of its divisors is an integer number (608593417425).

Almost surely, 2^{31001003411040} is an apocalyptic number.

31001003411040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31001003411040 is an abundant number, since it is smaller than the sum of its proper divisors (85848932734560).

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

31001003411040 is a wasteful number, since it uses less digits than its factorization.

31001003411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552012206 (or 552012192 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31001003411040 its reverse (4011430010013), we get a palindrome (35012433421053).

The spelling of 31001003411040 in words is "thirty-one trillion, one billion, three million, four hundred eleven thousand, forty".