1402005749760 has 1800 divisors, whose sum is σ = 6396895274616. Its totient is φ = 291325870080.

The previous prime is 1402005749759. The next prime is 1402005749773. The reversal of 1402005749760 is 679475002041.

1402005749760 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 0 + 0 + 574 + 9 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 127455068155 + ... + 127455068165.

Almost surely, 2^{1402005749760} is an apocalyptic number.

1402005749760 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 1402005749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198447637308).

1402005749760 is an abundant number, since it is smaller than the sum of its proper divisors (4994889524856).

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

1402005749760 is an frugal number, since it uses more digits than its factorization.

1402005749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1402005749760 in words is "one trillion, four hundred two billion, five million, seven hundred forty-nine thousand, seven hundred sixty".