1240916400 has 180 divisors, whose sum is σ = 4359257448. Its totient is φ = 326845440.

The previous prime is 1240916399. The next prime is 1240916407. The reversal of 1240916400 is 46190421.

1240916400 is a `hidden beast` number, since 1 + 240 + 9 + 16 + 400 = 666.

1240916400 is digitally balanced in base 4, 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 (180).

It is not an unprimeable number, because it can be changed into a prime (1240916407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296724 + ... + 300876.

Almost surely, 2^1240916400 is an apocalyptic number.

1240916400 is a gapful number since it is divisible by the number (10) 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 1240916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179628724).

1240916400 is an abundant number, since it is smaller than the sum of its proper divisors (3118341048).

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

1240916400 is a wasteful number, since it uses less digits than its factorization.

1240916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1240916400 is about 35226.6433257556. The cubic root of 1240916400 is about 1074.6016624030.

The spelling of 1240916400 in words is "one billion, two hundred forty million, nine hundred sixteen thousand, four hundred".