7906429440000 has 2600 divisors, whose sum is σ = 36411673784640. Its totient is φ = 1664188416000.

The previous prime is 7906429439989. The next prime is 7906429440047. The reversal of 7906429440000 is 449246097.

It is a tau number, because it is divible by the number of its divisors (2600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 18869759791 + ... + 18869760209.

Almost surely, 2^{7906429440000} is an apocalyptic number.

7906429440000 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 7906429440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18205836892320).

7906429440000 is an abundant number, since it is smaller than the sum of its proper divisors (28505244344640).

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

7906429440000 is an equidigital number, since it uses as much as digits as its factorization.

7906429440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 7906429440000 in words is "seven trillion, nine hundred six billion, four hundred twenty-nine million, four hundred forty thousand".