1406707402464 has 1296 divisors, whose sum is σ = 5295734458560. Its totient is φ = 350977536000.

The previous prime is 1406707402447. The next prime is 1406707402469. The reversal of 1406707402464 is 4642047076041.

It is a happy number.

1406707402464 is a `hidden beast` number, since 140 + 6 + 7 + 0 + 7 + 40 + 2 + 464 = 666.

It is a super-2 number, since 2×1406707402464² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406707402469) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13927796014 + ... + 13927796114.

It is an arithmetic number, because the mean of its divisors is an integer number (4086214860).

Almost surely, 2^{1406707402464} is an apocalyptic number.

1406707402464 is a gapful number since it is divisible by the number (14) 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 1406707402464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647867229280).

1406707402464 is an abundant number, since it is smaller than the sum of its proper divisors (3889027056096).

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

1406707402464 is a wasteful number, since it uses less digits than its factorization.

1406707402464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 1406707402464 in words is "one trillion, four hundred six billion, seven hundred seven million, four hundred two thousand, four hundred sixty-four".