6481257431040 has 2432 divisors, whose sum is σ = 29715748300800. Its totient is φ = 1320903770112.

The previous prime is 6481257430939. The next prime is 6481257431069. The reversal of 6481257431040 is 401347521846.

6481257431040 is a `hidden beast` number, since 6 + 4 + 8 + 1 + 2 + 574 + 31 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2432).

It is a super-2 number, since 2×6481257431040² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 341118812151 + ... + 341118812169.

Almost surely, 2^{6481257431040} is an apocalyptic number.

6481257431040 is a gapful number since it is divisible by the number (60) 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 6481257431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14857874150400).

6481257431040 is an abundant number, since it is smaller than the sum of its proper divisors (23234490869760).

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

6481257431040 is an frugal number, since it uses more digits than its factorization.

6481257431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 6481257431040 in words is "six trillion, four hundred eighty-one billion, two hundred fifty-seven million, four hundred thirty-one thousand, forty".