401126791680 has 640 divisors, whose sum is σ = 1485820258560. Its totient is φ = 102478970880.

The previous prime is 401126791633. The next prime is 401126791711. The reversal of 401126791680 is 86197621104.

401126791680 is a `hidden beast` number, since 401 + 12 + 6 + 79 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171347310 + ... + 171349650.

It is an arithmetic number, because the mean of its divisors is an integer number (2321594154).

Almost surely, 2^401126791680 is an apocalyptic number.

401126791680 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 401126791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742910129280).

401126791680 is an abundant number, since it is smaller than the sum of its proper divisors (1084693466880).

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

401126791680 is a wasteful number, since it uses less digits than its factorization.

401126791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 401126791680 in words is "four hundred one billion, one hundred twenty-six million, seven hundred ninety-one thousand, six hundred eighty".