1402055054400 has 1344 divisors, whose sum is σ = 6376007909376. Its totient is φ = 260222976000.

The previous prime is 1402055054383. The next prime is 1402055054483. The reversal of 1402055054400 is 44505502041.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148944094 + ... + 148953506.

It is an arithmetic number, because the mean of its divisors is an integer number (4744053504).

Almost surely, 2^{1402055054400} is an apocalyptic number.

1402055054400 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 1402055054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188003954688).

1402055054400 is an abundant number, since it is smaller than the sum of its proper divisors (4973952854976).

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

1402055054400 is a wasteful number, since it uses less digits than its factorization.

1402055054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 1402055054400 in words is "one trillion, four hundred two billion, fifty-five million, fifty-four thousand, four hundred".