40134584147760 has 240 divisors, whose sum is σ = 138557749474560. Its totient is φ = 10403548968960.

The previous prime is 40134584147719. The next prime is 40134584147783. The reversal of 40134584147760 is 6774148543104.

40134584147760 is a `hidden beast` number, since 4 + 0 + 1 + 34 + 5 + 84 + 1 + 477 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×40134584147760² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40134584147697 and 40134584147706.

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 47 ways as a sum of consecutive naturals, for example, 27773505 + ... + 29182815.

It is an arithmetic number, because the mean of its divisors is an integer number (577323956144).

Almost surely, 2^{40134584147760} is an apocalyptic number.

40134584147760 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 40134584147760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69278874737280).

40134584147760 is an abundant number, since it is smaller than the sum of its proper divisors (98423165326800).

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

40134584147760 is a wasteful number, since it uses less digits than its factorization.

40134584147760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410436 (or 1410427 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 40134584147760 in words is "forty trillion, one hundred thirty-four billion, five hundred eighty-four million, one hundred forty-seven thousand, seven hundred sixty".