1405987415536 has 80 divisors (see below), whose sum is σ = 3102028957440. Its totient is φ = 611086671360.

The previous prime is 1405987415509. The next prime is 1405987415563. The reversal of 1405987415536 is 6355147895041.

It is an interprime number because it is at equal distance from previous prime (1405987415509) and next prime (1405987415563).

It is a super-2 number, since 2×1405987415536² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11894935 + ... + 12012553.

It is an arithmetic number, because the mean of its divisors is an integer number (38775361968).

Almost surely, 2^{1405987415536} is an apocalyptic number.

1405987415536 is a gapful number since it is divisible by the number (16) 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 1405987415536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551014478720).

1405987415536 is an abundant number, since it is smaller than the sum of its proper divisors (1696041541904).

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

1405987415536 is a wasteful number, since it uses less digits than its factorization.

1405987415536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120614 (or 120608 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 58.

The spelling of 1405987415536 in words is "one trillion, four hundred five billion, nine hundred eighty-seven million, four hundred fifteen thousand, five hundred thirty-six".