7405055840 has 192 divisors, whose sum is σ = 22798952064. Its totient is φ = 2205646848.

The previous prime is 7405055809. The next prime is 7405055869. The reversal of 7405055840 is 485505047.

It is a junction number, because it is equal to n+sod(n) for n = 7405055794 and 7405055803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232562 + ... + 262478.

It is an arithmetic number, because the mean of its divisors is an integer number (118744542).

Almost surely, 2^7405055840 is an apocalyptic number.

7405055840 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 7405055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11399476032).

7405055840 is an abundant number, since it is smaller than the sum of its proper divisors (15393896224).

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

7405055840 is a wasteful number, since it uses less digits than its factorization.

7405055840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29969 (or 29961 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

The square root of 7405055840 is about 86052.6341258651. The cubic root of 7405055840 is about 1949.1388562316.

The spelling of 7405055840 in words is "seven billion, four hundred five million, fifty-five thousand, eight hundred forty".