1402040953728 has 384 divisors, whose sum is σ = 4285432569600. Its totient is φ = 439051345920.

The previous prime is 1402040953673. The next prime is 1402040953739. The reversal of 1402040953728 is 8273590402041.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726068923 + ... + 726070853.

It is an arithmetic number, because the mean of its divisors is an integer number (11159980650).

Almost surely, 2^{1402040953728} is an apocalyptic number.

1402040953728 is a gapful number since it is divisible by the number (18) 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 1402040953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142716284800).

1402040953728 is an abundant number, since it is smaller than the sum of its proper divisors (2883391615872).

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

1402040953728 is a wasteful number, since it uses less digits than its factorization.

1402040953728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1402040953728 in words is "one trillion, four hundred two billion, forty million, nine hundred fifty-three thousand, seven hundred twenty-eight".