40426800 has 120 divisors (see below), whose sum is σ = 131926080. Its totient is φ = 10579200.

The previous prime is 40426781. The next prime is 40426831. The reversal of 40426800 is 862404.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70515 + ... + 71085.

It is an arithmetic number, because the mean of its divisors is an integer number (1099384).

Almost surely, 2^40426800 is an apocalyptic number.

40426800 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 40426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65963040).

40426800 is an abundant number, since it is smaller than the sum of its proper divisors (91499280).

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

40426800 is a wasteful number, since it uses less digits than its factorization.

40426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40426800 is about 6358.2072945131. The cubic root of 40426800 is about 343.2072514918.

The spelling of 40426800 in words is "forty million, four hundred twenty-six thousand, eight hundred".