7407401040 has 240 divisors, whose sum is σ = 26896226448. Its totient is φ = 1816141824.

The previous prime is 7407401039. The next prime is 7407401059. The reversal of 7407401040 is 401047047.

It can be written as a sum of positive squares in 8 ways, for example, as 900720144 + 6506680896 = 30012^2 + 80664^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 7407400995 and 7407401013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2591292 + ... + 2594148.

Almost surely, 2^7407401040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7407401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448113224).

7407401040 is an abundant number, since it is smaller than the sum of its proper divisors (19488825408).

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

7407401040 is a wasteful number, since it uses less digits than its factorization.

7407401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 7407401040 is about 86066.2595910848. The cubic root of 7407401040 is about 1949.3446002561.

Adding to 7407401040 its reverse (401047047), we get a palindrome (7808448087).

The spelling of 7407401040 in words is "seven billion, four hundred seven million, four hundred one thousand, forty".