1406408620752 has 100 divisors (see below), whose sum is σ = 4081296255520. Its totient is φ = 467565763392.

The previous prime is 1406408620703. The next prime is 1406408620759. The reversal of 1406408620752 is 2570268046041.

1406408620752 is a `hidden beast` number, since 14 + 0 + 6 + 4 + 0 + 8 + 620 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1406408620698 and 1406408620707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406408620759) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 940468 + ... + 1922835.

Almost surely, 2^{1406408620752} is an apocalyptic number.

1406408620752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1406408620752 is an abundant number, since it is smaller than the sum of its proper divisors (2674887634768).

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

1406408620752 is a wasteful number, since it uses less digits than its factorization.

1406408620752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863702 (or 2863687 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1406408620752 in words is "one trillion, four hundred six billion, four hundred eight million, six hundred twenty thousand, seven hundred fifty-two".