1238480409600 has 2376 divisors, whose sum is σ = 5687737211520. Its totient is φ = 265314631680.

The previous prime is 1238480409587. The next prime is 1238480409629. The reversal of 1238480409600 is 69040848321.

It is a happy number.

1238480409600 is a `hidden beast` number, since 1 + 2 + 38 + 4 + 8 + 0 + 4 + 0 + 9 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5181926281 + ... + 5181926519.

Almost surely, 2^{1238480409600} is an apocalyptic number.

1238480409600 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 1238480409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843868605760).

1238480409600 is an abundant number, since it is smaller than the sum of its proper divisors (4449256801920).

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

1238480409600 is a wasteful number, since it uses less digits than its factorization.

1238480409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1238480409600 in words is "one trillion, two hundred thirty-eight billion, four hundred eighty million, four hundred nine thousand, six hundred".