401982732576 has 216 divisors, whose sum is σ = 1206218154960. Its totient is φ = 126965422848.

The previous prime is 401982732539. The next prime is 401982732583. The reversal of 401982732576 is 675237289104.

It is a happy number.

401982732576 is a `hidden beast` number, since 4 + 0 + 19 + 8 + 27 + 32 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16289335 + ... + 16313993.

It is an arithmetic number, because the mean of its divisors is an integer number (5584343310).

It is a 1-persistent number, because it is pandigital, but 2⋅401982732576 = 803965465152 is not.

Almost surely, 2^401982732576 is an apocalyptic number.

401982732576 is a gapful number since it is divisible by the number (46) 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 401982732576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603109077480).

401982732576 is an abundant number, since it is smaller than the sum of its proper divisors (804235422384).

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

401982732576 is a wasteful number, since it uses less digits than its factorization.

401982732576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24828 (or 24794 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 401982732576 in words is "four hundred one billion, nine hundred eighty-two million, seven hundred thirty-two thousand, five hundred seventy-six".