1121969543040 has 1280 divisors, whose sum is σ = 4310715024000. Its totient is φ = 277481521152.

The previous prime is 1121969542913. The next prime is 1121969543081. The reversal of 1121969543040 is 403459691211.

1121969543040 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 9 + 69 + 543 + 0 + 40 = 666.

It is a super-4 number, since 4×1121969543040⁴ (a number of 49 digits) contains 4444 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 159 ways as a sum of consecutive naturals, for example, 10293298506 + ... + 10293298614.

Almost surely, 2^{1121969543040} is an apocalyptic number.

1121969543040 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 1121969543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155357512000).

1121969543040 is an abundant number, since it is smaller than the sum of its proper divisors (3188745480960).

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

1121969543040 is a wasteful number, since it uses less digits than its factorization.

1121969543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1121969543040 in words is "one trillion, one hundred twenty-one billion, nine hundred sixty-nine million, five hundred forty-three thousand, forty".