1016627362400 has 288 divisors, whose sum is σ = 2808871658208. Its totient is φ = 356725555200.

The previous prime is 1016627362397. The next prime is 1016627362409. The reversal of 1016627362400 is 42637266101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016627362409) 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, 16515680 + ... + 16577120.

It is an arithmetic number, because the mean of its divisors is an integer number (9753026591).

Almost surely, 2^{1016627362400} is an apocalyptic number.

1016627362400 is a gapful number since it is divisible by the number (10) 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 1016627362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404435829104).

1016627362400 is an abundant number, since it is smaller than the sum of its proper divisors (1792244295808).

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

1016627362400 is a wasteful number, since it uses less digits than its factorization.

1016627362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61554 (or 61541 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 1016627362400 in words is "one trillion, sixteen billion, six hundred twenty-seven million, three hundred sixty-two thousand, four hundred".