7242472440 has 560 divisors, whose sum is σ = 29894574600. Its totient is φ = 1568294784.

The previous prime is 7242472439. The next prime is 7242472451. The reversal of 7242472440 is 442742427.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7242472395 and 7242472404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 381182751 + ... + 381182769.

Almost surely, 2^7242472440 is an apocalyptic number.

7242472440 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 7242472440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14947287300).

7242472440 is an abundant number, since it is smaller than the sum of its proper divisors (22652102160).

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

7242472440 is an frugal number, since it uses more digits than its factorization.

7242472440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

The square root of 7242472440 is about 85102.7169954050. The cubic root of 7242472440 is about 1934.7682433810.

The spelling of 7242472440 in words is "seven billion, two hundred forty-two million, four hundred seventy-two thousand, four hundred forty".