40481406837760 has 352 divisors, whose sum is σ = 112487006016000. Its totient is φ = 13691657650176.

The previous prime is 40481406837653. The next prime is 40481406837829. The reversal of 40481406837760 is 6773860418404.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40481406837695 and 40481406837704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1400290186 + ... + 1400319094.

It is an arithmetic number, because the mean of its divisors is an integer number (319565358000).

Almost surely, 2^{40481406837760} is an apocalyptic number.

40481406837760 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 40481406837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56243503008000).

40481406837760 is an abundant number, since it is smaller than the sum of its proper divisors (72005599178240).

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

40481406837760 is a wasteful number, since it uses less digits than its factorization.

40481406837760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29469 (or 29451 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 58.

The spelling of 40481406837760 in words is "forty trillion, four hundred eighty-one billion, four hundred six million, eight hundred thirty-seven thousand, seven hundred sixty".