7124225687040 has 2400 divisors, whose sum is σ = 30439319758848. Its totient is φ = 1418696294400.

The previous prime is 7124225687017. The next prime is 7124225687077. The reversal of 7124225687040 is 407865224217.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 239 ways as a sum of consecutive naturals, for example, 69167239629 + ... + 69167239731.

Almost surely, 2^{7124225687040} is an apocalyptic number.

7124225687040 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 7124225687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15219659879424).

7124225687040 is an abundant number, since it is smaller than the sum of its proper divisors (23315094071808).

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

7124225687040 is a wasteful number, since it uses less digits than its factorization.

7124225687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 7124225687040 in words is "seven trillion, one hundred twenty-four billion, two hundred twenty-five million, six hundred eighty-seven thousand, forty".