1402921671840 has 480 divisors, whose sum is σ = 5348040057360. Its totient is φ = 344295899136.

The previous prime is 1402921671829. The next prime is 1402921671841. The reversal of 1402921671840 is 481761292041.

1402921671840 is a `hidden beast` number, since 1 + 402 + 9 + 2 + 1 + 67 + 184 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 308998127376 + 1093923544464 = 555876^2 + 1045908^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (1402921671841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56765406 + ... + 56790114.

Almost surely, 2^{1402921671840} is an apocalyptic number.

1402921671840 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 1402921671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674020028680).

1402921671840 is an abundant number, since it is smaller than the sum of its proper divisors (3945118385520).

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

1402921671840 is a wasteful number, since it uses less digits than its factorization.

1402921671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25086 (or 25069 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1402921671840 in words is "one trillion, four hundred two billion, nine hundred twenty-one million, six hundred seventy-one thousand, eight hundred forty".