1402214768640 has 1120 divisors, whose sum is σ = 5794785057600. Its totient is φ = 317740548096.

The previous prime is 1402214768623. The next prime is 1402214768699. The reversal of 1402214768640 is 468674122041.

1402214768640 is a `hidden beast` number, since 1 + 40 + 2 + 21 + 476 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 79 ways as a sum of consecutive naturals, for example, 4017807186 + ... + 4017807534.

It is an arithmetic number, because the mean of its divisors is an integer number (5173915230).

Almost surely, 2^{1402214768640} is an apocalyptic number.

1402214768640 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 1402214768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897392528800).

1402214768640 is an abundant number, since it is smaller than the sum of its proper divisors (4392570288960).

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

1402214768640 is an equidigital number, since it uses as much as digits as its factorization.

1402214768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1402214768640 in words is "one trillion, four hundred two billion, two hundred fourteen million, seven hundred sixty-eight thousand, six hundred forty".