400413440448 has 168 divisors, whose sum is σ = 1360252612992. Its totient is φ = 114403809024.

The previous prime is 400413440443. The next prime is 400413440473. The reversal of 400413440448 is 844044314004.

400413440448 is a `hidden beast` number, since 40 + 0 + 4 + 134 + 40 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400413440443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1730190 + ... + 1947917.

It is an arithmetic number, because the mean of its divisors is an integer number (8096741744).

Almost surely, 2^400413440448 is an apocalyptic number.

400413440448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

400413440448 is an abundant number, since it is smaller than the sum of its proper divisors (959839172544).

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

400413440448 is an equidigital number, since it uses as much as digits as its factorization.

400413440448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678141 (or 3678119 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 400413440448 in words is "four hundred billion, four hundred thirteen million, four hundred forty thousand, four hundred forty-eight".