1402264008072 has 24 divisors (see below), whose sum is σ = 3797798355390. Its totient is φ = 467421336000.

The previous prime is 1402264008001. The next prime is 1402264008107. The reversal of 1402264008072 is 2708004622041.

1402264008072 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 2 + 640 + 0 + 8 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1141790554116 + 260473453956 = 1068546^2 + 510366^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 9737944429 + ... + 9737944572.

Almost surely, 2^{1402264008072} is an apocalyptic number.

1402264008072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1402264008072 is an abundant number, since it is smaller than the sum of its proper divisors (2395534347318).

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

1402264008072 is a wasteful number, since it uses less digits than its factorization.

1402264008072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19475889013 (or 19475889006 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 1402264008072 in words is "one trillion, four hundred two billion, two hundred sixty-four million, eight thousand, seventy-two".