7435139040 has 576 divisors, whose sum is σ = 31859702784. Its totient is φ = 1598496768.

The previous prime is 7435139029. The next prime is 7435139053. The reversal of 7435139040 is 409315347.

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 = 7435138986 and 7435139004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4625917 + ... + 4627523.

It is an arithmetic number, because the mean of its divisors is an integer number (55311984).

Almost surely, 2^7435139040 is an apocalyptic number.

7435139040 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 7435139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15929851392).

7435139040 is an abundant number, since it is smaller than the sum of its proper divisors (24424563744).

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

7435139040 is a wasteful number, since it uses less digits than its factorization.

7435139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7435139040 is about 86227.2523045934. The cubic root of 7435139040 is about 1951.7747629346.

The spelling of 7435139040 in words is "seven billion, four hundred thirty-five million, one hundred thirty-nine thousand, forty".