7851091404240 has 1920 divisors, whose sum is σ = 33372264038400. Its totient is φ = 1659590000640.

The previous prime is 7851091404239. The next prime is 7851091404269. The reversal of 7851091404240 is 424041901587.

7851091404240 is a `hidden beast` number, since 7 + 8 + 510 + 91 + 4 + 0 + 4 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 88214510116 + ... + 88214510204.

It is an arithmetic number, because the mean of its divisors is an integer number (17381387520).

Almost surely, 2^{7851091404240} is an apocalyptic number.

7851091404240 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 7851091404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686132019200).

7851091404240 is an abundant number, since it is smaller than the sum of its proper divisors (25521172634160).

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

7851091404240 is a wasteful number, since it uses less digits than its factorization.

7851091404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 7851091404240 in words is "seven trillion, eight hundred fifty-one billion, ninety-one million, four hundred four thousand, two hundred forty".