7181921040 has 320 divisors, whose sum is σ = 26026953216. Its totient is φ = 1604468736.

The previous prime is 7181921023. The next prime is 7181921069. The reversal of 7181921040 is 401291817.

It is a junction number, because it is equal to n+sod(n) for n = 7181920992 and 7181921010.

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, 19254294 + ... + 19254666.

Almost surely, 2^7181921040 is an apocalyptic number.

7181921040 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 7181921040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13013476608).

7181921040 is an abundant number, since it is smaller than the sum of its proper divisors (18845032176).

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

7181921040 is a wasteful number, since it uses less digits than its factorization.

7181921040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 7181921040 is about 84746.2154907227. The cubic root of 7181921040 is about 1929.3612067986.

The spelling of 7181921040 in words is "seven billion, one hundred eighty-one million, nine hundred twenty-one thousand, forty".