7946385431040 has 2400 divisors, whose sum is σ = 36408363108480. Its totient is φ = 1617877794816.

The previous prime is 7946385430981. The next prime is 7946385431069. The reversal of 7946385431040 is 401345836497.

7946385431040 is a `hidden beast` number, since 7 + 9 + 46 + 3 + 8 + 543 + 10 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 7970295822 + ... + 7970296818.

Almost surely, 2^{7946385431040} is an apocalyptic number.

7946385431040 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 7946385431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18204181554240).

7946385431040 is an abundant number, since it is smaller than the sum of its proper divisors (28461977677440).

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

7946385431040 is a wasteful number, since it uses less digits than its factorization.

7946385431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

It can be divided in two parts, 79463 and 85431040, that added together give a triangular number (85510503 = T₁₃₀₇₇).

The spelling of 7946385431040 in words is "seven trillion, nine hundred forty-six billion, three hundred eighty-five million, four hundred thirty-one thousand, forty".