40337940867840 has 2304 divisors, whose sum is σ = 188949583872000. Its totient is φ = 7894623191040.

The previous prime is 40337940867823. The next prime is 40337940867863. The reversal of 40337940867840 is 4876804973304.

It is a happy number.

40337940867840 is a `hidden beast` number, since 40 + 3 + 379 + 40 + 86 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 9050466892 + ... + 9050471348.

It is an arithmetic number, because the mean of its divisors is an integer number (82009368000).

Almost surely, 2^{40337940867840} is an apocalyptic number.

40337940867840 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 40337940867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94474791936000).

40337940867840 is an abundant number, since it is smaller than the sum of its proper divisors (148611643004160).

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

40337940867840 is a wasteful number, since it uses less digits than its factorization.

40337940867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 40337940867840 in words is "forty trillion, three hundred thirty-seven billion, nine hundred forty million, eight hundred sixty-seven thousand, eight hundred forty".