1406554705920 has 1248 divisors, whose sum is σ = 5718999710592. Its totient is φ = 292514955264.

The previous prime is 1406554705903. The next prime is 1406554705967. The reversal of 1406554705920 is 295074556041.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×1406554705920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1406554705920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3248394024 + ... + 3248394456.

Almost surely, 2^{1406554705920} is an apocalyptic number.

1406554705920 is a gapful number since it is divisible by the number (10) 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 1406554705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859499855296).

1406554705920 is an abundant number, since it is smaller than the sum of its proper divisors (4312445004672).

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

1406554705920 is a wasteful number, since it uses less digits than its factorization.

1406554705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 1406554705920 in words is "one trillion, four hundred six billion, five hundred fifty-four million, seven hundred five thousand, nine hundred twenty".