40196582400 has 792 divisors, whose sum is σ = 152357718720. Its totient is φ = 9316270080.

The previous prime is 40196582369. The next prime is 40196582411. The reversal of 40196582400 is 428569104.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 246604719 + ... + 246604881.

Almost surely, 2^40196582400 is an apocalyptic number.

40196582400 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 40196582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76178859360).

40196582400 is an abundant number, since it is smaller than the sum of its proper divisors (112161136320).

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

40196582400 is a wasteful number, since it uses less digits than its factorization.

40196582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 40196582400 in words is "forty billion, one hundred ninety-six million, five hundred eighty-two thousand, four hundred".