7261159127040 has 2304 divisors, whose sum is σ = 32798355408000. Its totient is φ = 1529014910976.

The previous prime is 7261159127003. The next prime is 7261159127063. The reversal of 7261159127040 is 407219511627.

7261159127040 is a `hidden beast` number, since 7 + 2 + 6 + 11 + 591 + 2 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 14265538306 + ... + 14265538814.

Almost surely, 2^{7261159127040} is an apocalyptic number.

7261159127040 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 7261159127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16399177704000).

7261159127040 is an abundant number, since it is smaller than the sum of its proper divisors (25537196280960).

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

7261159127040 is an equidigital number, since it uses as much as digits as its factorization.

7261159127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 7261159127040 in words is "seven trillion, two hundred sixty-one billion, one hundred fifty-nine million, one hundred twenty-seven thousand, forty".