402462149472 has 240 divisors, whose sum is σ = 1194603379200. Its totient is φ = 132916412160.

The previous prime is 402462149471. The next prime is 402462149491. The reversal of 402462149472 is 274941264204.

402462149472 is a `hidden beast` number, since 4 + 0 + 2 + 462 + 149 + 47 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402462149471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130710429 + ... + 130713507.

It is an arithmetic number, because the mean of its divisors is an integer number (4977514080).

Almost surely, 2^402462149472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402462149472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597301689600).

402462149472 is an abundant number, since it is smaller than the sum of its proper divisors (792141229728).

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

402462149472 is a wasteful number, since it uses less digits than its factorization.

402462149472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 402462149472 in words is "four hundred two billion, four hundred sixty-two million, one hundred forty-nine thousand, four hundred seventy-two".