31411221221040 has 160 divisors (see below), whose sum is σ = 101612421388800. Its totient is φ = 8011826178048.

The previous prime is 31411221220963. The next prime is 31411221221057. The reversal of 31411221221040 is 4012212211413.

It is a super-2 number, since 2×31411221221040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31411221221040.

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, 163975236 + ... + 164166684.

It is an arithmetic number, because the mean of its divisors is an integer number (635077633680).

Almost surely, 2^{31411221221040} is an apocalyptic number.

31411221221040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31411221221040 is an abundant number, since it is smaller than the sum of its proper divisors (70201200167760).

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

31411221221040 is a wasteful number, since it uses less digits than its factorization.

31411221221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221211 (or 221205 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 31411221221040 its reverse (4012212211413), we get a palindrome (35423433432453).

The spelling of 31411221221040 in words is "thirty-one trillion, four hundred eleven billion, two hundred twenty-one million, two hundred twenty-one thousand, forty".