7400290240 has 448 divisors, whose sum is σ = 22472294400. Its totient is φ = 2264371200.

The previous prime is 7400290199. The next prime is 7400290241. The reversal of 7400290240 is 420920047.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 7400290199 and 7400290208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7400290241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93674521 + ... + 93674599.

Almost surely, 2^7400290240 is an apocalyptic number.

7400290240 is a gapful number since it is divisible by the number (70) 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 7400290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11236147200).

7400290240 is an abundant number, since it is smaller than the sum of its proper divisors (15072004160).

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

7400290240 is a wasteful number, since it uses less digits than its factorization.

7400290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 7400290240 is about 86024.9396396185. The cubic root of 7400290240 is about 1948.7206370363.

The spelling of 7400290240 in words is "seven billion, four hundred million, two hundred ninety thousand, two hundred forty".