1402654876416 has 288 divisors, whose sum is σ = 4375948908800. Its totient is φ = 441955491840.

The previous prime is 1402654876411. The next prime is 1402654876463. The reversal of 1402654876416 is 6146784562041.

1402654876416 is a `hidden beast` number, since 1 + 4 + 0 + 26 + 548 + 7 + 64 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1402654876411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60005211 + ... + 60028581.

Almost surely, 2^{1402654876416} is an apocalyptic number.

1402654876416 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 1402654876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187974454400).

1402654876416 is an abundant number, since it is smaller than the sum of its proper divisors (2973294032384).

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

1402654876416 is a wasteful number, since it uses less digits than its factorization.

1402654876416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23872 (or 23852 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1402654876416 in words is "one trillion, four hundred two billion, six hundred fifty-four million, eight hundred seventy-six thousand, four hundred sixteen".