1538038022400 has 1728 divisors, whose sum is σ = 6657173913600. Its totient is φ = 343388160000.

The previous prime is 1538038022383. The next prime is 1538038022407. The reversal of 1538038022400 is 42208308351.

1538038022400 is a `hidden beast` number, since 1 + 5 + 38 + 0 + 380 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1538038022407) 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, 1336261825 + ... + 1336262975.

It is an arithmetic number, because the mean of its divisors is an integer number (3852531200).

Almost surely, 2^{1538038022400} is an apocalyptic number.

1538038022400 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 1538038022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328586956800).

1538038022400 is an abundant number, since it is smaller than the sum of its proper divisors (5119135891200).

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

1538038022400 is a wasteful number, since it uses less digits than its factorization.

1538038022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1538038022400 in words is "one trillion, five hundred thirty-eight billion, thirty-eight million, twenty-two thousand, four hundred".