19440557316000 has 1152 divisors, whose sum is σ = 72149659545600. Its totient is φ = 4952934604800.

The previous prime is 19440557315989. The next prime is 19440557316013. The reversal of 19440557316000 is 61375504491.

19440557316000 is a `hidden beast` number, since 1 + 9 + 4 + 4 + 0 + 5 + 5 + 7 + 31 + 600 + 0 = 666.

It is a super-2 number, since 2×19440557316000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25149491614 + ... + 25149492386.

It is an arithmetic number, because the mean of its divisors is an integer number (62629912800).

Almost surely, 2^{19440557316000} is an apocalyptic number.

19440557316000 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 19440557316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36074829772800).

19440557316000 is an abundant number, since it is smaller than the sum of its proper divisors (52709102229600).

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

19440557316000 is a wasteful number, since it uses less digits than its factorization.

19440557316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 19440557316000 in words is "nineteen trillion, four hundred forty billion, five hundred fifty-seven million, three hundred sixteen thousand".