1072149674400 has 1152 divisors, whose sum is σ = 4619704320000. Its totient is φ = 239770782720.

The previous prime is 1072149674381. The next prime is 1072149674443. The reversal of 1072149674400 is 44769412701.

1072149674400 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 149 + 67 + 440 + 0 = 666.

It is a super-2 number, since 2×1072149674400² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 348212061 + ... + 348215139.

It is an arithmetic number, because the mean of its divisors is an integer number (4010160000).

Almost surely, 2^{1072149674400} is an apocalyptic number.

1072149674400 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 1072149674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309852160000).

1072149674400 is an abundant number, since it is smaller than the sum of its proper divisors (3547554645600).

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

1072149674400 is a wasteful number, since it uses less digits than its factorization.

1072149674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1072149674400 in words is "one trillion, seventy-two billion, one hundred forty-nine million, six hundred seventy-four thousand, four hundred".