40014949607600 has 240 divisors, whose sum is σ = 106876265909760. Its totient is φ = 14273414937600.

The previous prime is 40014949607599. The next prime is 40014949607603. The reversal of 40014949607600 is 670694941004.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (40014949607603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1361640107 + ... + 1361669493.

It is an arithmetic number, because the mean of its divisors is an integer number (445317774624).

Almost surely, 2^{40014949607600} is an apocalyptic number.

40014949607600 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 40014949607600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53438132954880).

40014949607600 is an abundant number, since it is smaller than the sum of its proper divisors (66861316302160).

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

40014949607600 is a wasteful number, since it uses less digits than its factorization.

40014949607600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35308 (or 35297 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 40014949607600 in words is "forty trillion, fourteen billion, nine hundred forty-nine million, six hundred seven thousand, six hundred".