40448400 has 120 divisors (see below), whose sum is σ = 133217664. Its totient is φ = 10483200.

The previous prime is 40448377. The next prime is 40448413. The reversal of 40448400 is 484404.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43945 + ... + 44855.

Almost surely, 2^40448400 is an apocalyptic number.

40448400 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 40448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66608832).

40448400 is an abundant number, since it is smaller than the sum of its proper divisors (92769264).

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

40448400 is a wasteful number, since it uses less digits than its factorization.

40448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 40448400 is about 6359.9056596777. The cubic root of 40448400 is about 343.2683657091.

The spelling of 40448400 in words is "forty million, four hundred forty-eight thousand, four hundred".