7419229440 has 576 divisors, whose sum is σ = 29041152000. Its totient is φ = 1576599552.

The previous prime is 7419229427. The next prime is 7419229453. The reversal of 7419229440 is 449229147.

It is an interprime number because it is at equal distance from previous prime (7419229427) and next prime (7419229453).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7419229392 and 7419229401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37282461 + ... + 37282659.

Almost surely, 2^7419229440 is an apocalyptic number.

7419229440 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 7419229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520576000).

7419229440 is an abundant number, since it is smaller than the sum of its proper divisors (21621922560).

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

7419229440 is a wasteful number, since it uses less digits than its factorization.

7419229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 7419229440 is about 86134.9490044546. The cubic root of 7419229440 is about 1950.3816425935.

The spelling of 7419229440 in words is "seven billion, four hundred nineteen million, two hundred twenty-nine thousand, four hundred forty".