40362408387840 has 648 divisors, whose sum is σ = 164825074622880. Its totient is φ = 8386989219840.

The previous prime is 40362408387781. The next prime is 40362408387859. The reversal of 40362408387840 is 4878380426304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21880951 + ... + 23653769.

It is an arithmetic number, because the mean of its divisors is an integer number (254359683060).

Almost surely, 2^{40362408387840} is an apocalyptic number.

40362408387840 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 40362408387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82412537311440).

40362408387840 is an abundant number, since it is smaller than the sum of its proper divisors (124462666235040).

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

40362408387840 is a wasteful number, since it uses less digits than its factorization.

40362408387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772879 (or 1772847 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 57.

The spelling of 40362408387840 in words is "forty trillion, three hundred sixty-two billion, four hundred eight million, three hundred eighty-seven thousand, eight hundred forty".