40345949638400 has 1728 divisors, whose sum is σ = 133861752299520. Its totient is φ = 11703995596800.

The previous prime is 40345949638373. The next prime is 40345949638403. The reversal of 40345949638400 is 483694954304.

It is a self number, because there is not a number n which added to its sum of digits gives 40345949638400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40345949638403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23774866352 + ... + 23774868048.

It is an arithmetic number, because the mean of its divisors is an integer number (77466291840).

Almost surely, 2^{40345949638400} is an apocalyptic number.

40345949638400 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 40345949638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66930876149760).

40345949638400 is an abundant number, since it is smaller than the sum of its proper divisors (93515802661120).

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

40345949638400 is a wasteful number, since it uses less digits than its factorization.

40345949638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 59.

The spelling of 40345949638400 in words is "forty trillion, three hundred forty-five billion, nine hundred forty-nine million, six hundred thirty-eight thousand, four hundred".