1402135971840 has 1344 divisors, whose sum is σ = 5341783749120. Its totient is φ = 352584990720.

The previous prime is 1402135971829. The next prime is 1402135971869. The reversal of 1402135971840 is 481795312041.

1402135971840 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 1 + 3 + 597 + 18 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16893204439 + ... + 16893204521.

It is an arithmetic number, because the mean of its divisors is an integer number (3974541480).

Almost surely, 2^{1402135971840} is an apocalyptic number.

1402135971840 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 1402135971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670891874560).

1402135971840 is an abundant number, since it is smaller than the sum of its proper divisors (3939647777280).

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

1402135971840 is an frugal number, since it uses more digits than its factorization.

1402135971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1402135971840 in words is "one trillion, four hundred two billion, one hundred thirty-five million, nine hundred seventy-one thousand, eight hundred forty".