1065927133440 has 1440 divisors, whose sum is σ = 4299971106816. Its totient is φ = 250344898560.

The previous prime is 1065927133399. The next prime is 1065927133451. The reversal of 1065927133440 is 443317295601.

1065927133440 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 9 + 271 + 334 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×1065927133440³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4052954749 + ... + 4052955011.

Almost surely, 2^{1065927133440} is an apocalyptic number.

1065927133440 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 1065927133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149985553408).

1065927133440 is an abundant number, since it is smaller than the sum of its proper divisors (3234043973376).

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

1065927133440 is a wasteful number, since it uses less digits than its factorization.

1065927133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1065927133440 in words is "one trillion, sixty-five billion, nine hundred twenty-seven million, one hundred thirty-three thousand, four hundred forty".