40509278193384 has 2048 divisors, whose sum is σ = 164832804864000. Its totient is φ = 8877610368000.

The previous prime is 40509278193347. The next prime is 40509278193431. The reversal of 40509278193384 is 48339187290504.

40509278193384 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 92 + 7 + 81 + 93 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 122384526099 + ... + 122384526429.

It is an arithmetic number, because the mean of its divisors is an integer number (80484768000).

Almost surely, 2^{40509278193384} is an apocalyptic number.

40509278193384 is a gapful number since it is divisible by the number (44) 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 40509278193384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82416402432000).

40509278193384 is an abundant number, since it is smaller than the sum of its proper divisors (124323526670616).

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

40509278193384 is a wasteful number, since it uses less digits than its factorization.

40509278193384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 40509278193384 in words is "forty trillion, five hundred nine billion, two hundred seventy-eight million, one hundred ninety-three thousand, three hundred eighty-four".