1069936070400 has 648 divisors, whose sum is σ = 3904588527840. Its totient is φ = 279462543360.

The previous prime is 1069936070387. The next prime is 1069936070461. The reversal of 1069936070400 is 40706399601.

It is a super-2 number, since 2×1069936070400² (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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 579282277 + ... + 579284123.

It is an arithmetic number, because the mean of its divisors is an integer number (6025599580).

Almost surely, 2^{1069936070400} is an apocalyptic number.

1069936070400 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 1069936070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952294263920).

1069936070400 is an abundant number, since it is smaller than the sum of its proper divisors (2834652457440).

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

1069936070400 is a wasteful number, since it uses less digits than its factorization.

1069936070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 1069936070400 in words is "one trillion, sixty-nine billion, nine hundred thirty-six million, seventy thousand, four hundred".