4040396400 has 120 divisors (see below), whose sum is σ = 13036387840. Its totient is φ = 1069643520.

The previous prime is 4040396369. The next prime is 4040396429. The reversal of 4040396400 is 46930404.

4040396400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

It is a congruent number.

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, 154689 + ... + 178911.

Almost surely, 2^4040396400 is an apocalyptic number.

4040396400 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 4040396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518193920).

4040396400 is an abundant number, since it is smaller than the sum of its proper divisors (8995991440).

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

4040396400 is a wasteful number, since it uses less digits than its factorization.

4040396400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24383 (or 24372 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4040396400 is about 63564.1125164192. The cubic root of 4040396400 is about 1592.7269371089.

The spelling of 4040396400 in words is "four billion, forty million, three hundred ninety-six thousand, four hundred".