40616623700400 has 240 divisors, whose sum is σ = 142021859626368. Its totient is φ = 9840542208000.

The previous prime is 40616623700353. The next prime is 40616623700407. The reversal of 40616623700400 is 400732661604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (40616623700407) 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, 21081480 + ... + 22927320.

Almost surely, 2^{40616623700400} is an apocalyptic number.

40616623700400 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 40616623700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71010929813184).

40616623700400 is an abundant number, since it is smaller than the sum of its proper divisors (101405235925968).

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

40616623700400 is a wasteful number, since it uses less digits than its factorization.

40616623700400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847540 (or 1847529 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 40616623700400 in words is "forty trillion, six hundred sixteen billion, six hundred twenty-three million, seven hundred thousand, four hundred".