401948144640 has 1056 divisors, whose sum is σ = 1676145173760. Its totient is φ = 91342798848.

The previous prime is 401948144629. The next prime is 401948144641. The reversal of 401948144640 is 46441849104.

It is a happy number.

401948144640 is a `hidden beast` number, since 4 + 0 + 1 + 94 + 81 + 446 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401948144641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2323399594 + ... + 2323399766.

Almost surely, 2^401948144640 is an apocalyptic number.

401948144640 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 401948144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838072586880).

401948144640 is an abundant number, since it is smaller than the sum of its proper divisors (1274197029120).

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

401948144640 is an frugal number, since it uses more digits than its factorization.

401948144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 401948144640 in words is "four hundred one billion, nine hundred forty-eight million, one hundred forty-four thousand, six hundred forty".