1402001516160 has 1152 divisors, whose sum is σ = 5971903588800. Its totient is φ = 309940162560.

The previous prime is 1402001516141. The next prime is 1402001516213. The reversal of 1402001516160 is 616151002041.

1402001516160 is a `hidden beast` number, since 1 + 40 + 2 + 0 + 0 + 1 + 5 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1402001516160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 813697059 + ... + 813698781.

Almost surely, 2^{1402001516160} is an apocalyptic number.

1402001516160 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 1402001516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985951794400).

1402001516160 is an abundant number, since it is smaller than the sum of its proper divisors (4569902072640).

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

1402001516160 is a wasteful number, since it uses less digits than its factorization.

1402001516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1402001516160 in words is "one trillion, four hundred two billion, one million, five hundred sixteen thousand, one hundred sixty".