40305130566960 has 480 divisors, whose sum is σ = 152493446651904. Its totient is φ = 8769261312000.

The previous prime is 40305130566947. The next prime is 40305130567019. The reversal of 40305130566960 is 6966503150304.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21331945 + ... + 23144375.

Almost surely, 2^{40305130566960} is an apocalyptic number.

40305130566960 is a gapful number since it is divisible by the number (40) 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 40305130566960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76246723325952).

40305130566960 is an abundant number, since it is smaller than the sum of its proper divisors (112188316084944).

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

40305130566960 is a wasteful number, since it uses less digits than its factorization.

40305130566960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812553 (or 1812540 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 40305130566960 in words is "forty trillion, three hundred five billion, one hundred thirty million, five hundred sixty-six thousand, nine hundred sixty".