1370478398400 has 1008 divisors, whose sum is σ = 5218373815200. Its totient is φ = 353540505600.

The previous prime is 1370478398389. The next prime is 1370478398407. The reversal of 1370478398400 is 48938740731.

1370478398400 is a `hidden beast` number, since 1 + 3 + 70 + 4 + 7 + 83 + 98 + 400 = 666.

It is a super-2 number, since 2×1370478398400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370478398407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2375178912 + ... + 2375179488.

It is an arithmetic number, because the mean of its divisors is an integer number (5176958150).

Almost surely, 2^{1370478398400} is an apocalyptic number.

1370478398400 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 1370478398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609186907600).

1370478398400 is an abundant number, since it is smaller than the sum of its proper divisors (3847895416800).

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

1370478398400 is a wasteful number, since it uses less digits than its factorization.

1370478398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1370478398400 in words is "one trillion, three hundred seventy billion, four hundred seventy-eight million, three hundred ninety-eight thousand, four hundred".