1402424074656 has 144 divisors (see below), whose sum is σ = 4353465916800. Its totient is φ = 424707010560.

The previous prime is 1402424074637. The next prime is 1402424074663. The reversal of 1402424074656 is 6564704242041.

It is a happy number.

1402424074656 is a `hidden beast` number, since 140 + 2 + 4 + 2 + 40 + 7 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4875120 + ... + 5154768.

It is an arithmetic number, because the mean of its divisors is an integer number (30232402200).

Almost surely, 2^{1402424074656} is an apocalyptic number.

1402424074656 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 1402424074656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176732958400).

1402424074656 is an abundant number, since it is smaller than the sum of its proper divisors (2951041842144).

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

1402424074656 is a wasteful number, since it uses less digits than its factorization.

1402424074656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281259 (or 281248 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 1402424074656 in words is "one trillion, four hundred two billion, four hundred twenty-four million, seventy-four thousand, six hundred fifty-six".