401839764480 has 1056 divisors, whose sum is σ = 1812575594880. Its totient is φ = 83483688960.

The previous prime is 401839764413. The next prime is 401839764509. The reversal of 401839764480 is 84467938104.

401839764480 is a `hidden beast` number, since 4 + 0 + 18 + 3 + 97 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×401839764480² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74508664 + ... + 74514056.

Almost surely, 2^401839764480 is an apocalyptic number.

401839764480 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 401839764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906287797440).

401839764480 is an abundant number, since it is smaller than the sum of its proper divisors (1410735830400).

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

401839764480 is a wasteful number, since it uses less digits than its factorization.

401839764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 401839764480 in words is "four hundred one billion, eight hundred thirty-nine million, seven hundred sixty-four thousand, four hundred eighty".