1070661530400 has 1728 divisors, whose sum is σ = 4548308889600. Its totient is φ = 214025011200.

The previous prime is 1070661530381. The next prime is 1070661530431. The reversal of 1070661530400 is 40351660701.

It is a super-2 number, since 2×1070661530400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9474880744 + ... + 9474880856.

It is an arithmetic number, because the mean of its divisors is an integer number (2632123200).

Almost surely, 2^{1070661530400} is an apocalyptic number.

1070661530400 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 1070661530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274154444800).

1070661530400 is an abundant number, since it is smaller than the sum of its proper divisors (3477647359200).

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

1070661530400 is a wasteful number, since it uses less digits than its factorization.

1070661530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

It can be divided in two parts, 1070661 and 530400, that added together give a palindrome (1601061).

The spelling of 1070661530400 in words is "one trillion, seventy billion, six hundred sixty-one million, five hundred thirty thousand, four hundred".