7400989440 has 1080 divisors, whose sum is σ = 31889956560. Its totient is φ = 1624375296.

The previous prime is 7400989411. The next prime is 7400989451. The reversal of 7400989440 is 449890047.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 389525751 + ... + 389525769.

Almost surely, 2^7400989440 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 7400989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944978280).

7400989440 is an abundant number, since it is smaller than the sum of its proper divisors (24488967120).

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

7400989440 is a wasteful number, since it uses less digits than its factorization.

7400989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7400989440 is about 86029.0034813841. The cubic root of 7400989440 is about 1948.7820086184.

The spelling of 7400989440 in words is "seven billion, four hundred million, nine hundred eighty-nine thousand, four hundred forty".