401050298880 has 720 divisors, whose sum is σ = 1744881570432. Its totient is φ = 83331072000.

The previous prime is 401050298861. The next prime is 401050298899. The reversal of 401050298880 is 88892050104.

It is a happy number.

401050298880 is a `hidden beast` number, since 40 + 10 + 502 + 98 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (401050298861) and next prime (401050298899).

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19504605 + ... + 19525155.

Almost surely, 2^401050298880 is an apocalyptic number.

401050298880 is a gapful number since it is divisible by the number (40) 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 401050298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872440785216).

401050298880 is an abundant number, since it is smaller than the sum of its proper divisors (1343831271552).

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

401050298880 is a wasteful number, since it uses less digits than its factorization.

401050298880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20609 (or 20579 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 401050298880 in words is "four hundred one billion, fifty million, two hundred ninety-eight thousand, eight hundred eighty".