70738142400000 has 2400 divisors, whose sum is σ = 283158698495904. Its totient is φ = 17517772800000.

The previous prime is 70738142399971. The next prime is 70738142400043. The reversal of 70738142400000 is 424183707.

It is a happy number.

70738142400000 is a `hidden beast` number, since 70 + 73 + 81 + 42 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 213710399835 + ... + 213710400165.

Almost surely, 2^{70738142400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70738142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141579349247952).

70738142400000 is an abundant number, since it is smaller than the sum of its proper divisors (212420556095904).

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

70738142400000 is an frugal number, since it uses more digits than its factorization.

70738142400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 70738142400000 its reverse (424183707), we get a palindrome (70738566583707).

The spelling of 70738142400000 in words is "seventy trillion, seven hundred thirty-eight billion, one hundred forty-two million, four hundred thousand".