40264466400 has 216 divisors, whose sum is σ = 142151995440. Its totient is φ = 10724382720.

The previous prime is 40264466371. The next prime is 40264466441. The reversal of 40264466400 is 466446204.

It is a happy number.

40264466400 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 4 + 4 + 6 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7074756 + ... + 7080444.

It is an arithmetic number, because the mean of its divisors is an integer number (658111090).

Almost surely, 2^40264466400 is an apocalyptic number.

40264466400 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 40264466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71075997720).

40264466400 is an abundant number, since it is smaller than the sum of its proper divisors (101887529040).

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

40264466400 is a wasteful number, since it uses less digits than its factorization.

40264466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6698 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 40264466400 in words is "forty billion, two hundred sixty-four million, four hundred sixty-six thousand, four hundred".