7940414400 has 672 divisors, whose sum is σ = 29534681088. Its totient is φ = 1857945600.

The previous prime is 7940414399. The next prime is 7940414411. The reversal of 7940414400 is 44140497.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108772764 + ... + 108772836.

Almost surely, 2^7940414400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7940414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767340544).

7940414400 is an abundant number, since it is smaller than the sum of its proper divisors (21594266688).

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

7940414400 is a wasteful number, since it uses less digits than its factorization.

7940414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 7940414400 is about 89109.0029121637. The cubic root of 7940414400 is about 1995.0221541374.

Adding to 7940414400 its reverse (44140497), we get a palindrome (7984554897).

The spelling of 7940414400 in words is "seven billion, nine hundred forty million, four hundred fourteen thousand, four hundred".