1402264094400 has 1680 divisors, whose sum is σ = 5932242749664. Its totient is φ = 321849262080.

The previous prime is 1402264094279. The next prime is 1402264094449. The reversal of 1402264094400 is 44904622041.

It is a happy number.

1402264094400 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 2 + 640 + 9 + 4 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×1402264094400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4954996659 + ... + 4954996941.

Almost surely, 2^{1402264094400} is an apocalyptic number.

1402264094400 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 1402264094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966121374832).

1402264094400 is an abundant number, since it is smaller than the sum of its proper divisors (4529978655264).

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

1402264094400 is a wasteful number, since it uses less digits than its factorization.

1402264094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1402264094400 in words is "one trillion, four hundred two billion, two hundred sixty-four million, ninety-four thousand, four hundred".