401766837120 has 768 divisors, whose sum is σ = 1608512256000. Its totient is φ = 91325399040.

The previous prime is 401766837107. The next prime is 401766837161. The reversal of 401766837120 is 21738667104.

It is a super-2 number, since 2×401766837120² (a number of 24 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 386685561 + ... + 386686599.

It is an arithmetic number, because the mean of its divisors is an integer number (2094417000).

Almost surely, 2^401766837120 is an apocalyptic number.

401766837120 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 401766837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804256128000).

401766837120 is an abundant number, since it is smaller than the sum of its proper divisors (1206745418880).

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

401766837120 is a wasteful number, since it uses less digits than its factorization.

401766837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 401766837120 in words is "four hundred one billion, seven hundred sixty-six million, eight hundred thirty-seven thousand, one hundred twenty".