402541945488 has 240 divisors, whose sum is σ = 1208147006976. Its totient is φ = 129617832960.

The previous prime is 402541945451. The next prime is 402541945529. The reversal of 402541945488 is 884549145204.

402541945488 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 4 + 1 + 94 + 548 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74363070 + ... + 74368482.

Almost surely, 2^402541945488 is an apocalyptic number.

402541945488 is a gapful number since it is divisible by the number (48) 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 402541945488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604073503488).

402541945488 is an abundant number, since it is smaller than the sum of its proper divisors (805605061488).

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

402541945488 is a wasteful number, since it uses less digits than its factorization.

402541945488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6084 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 402541945488 in words is "four hundred two billion, five hundred forty-one million, nine hundred forty-five thousand, four hundred eighty-eight".