1077407065440 has 144 divisors (see below), whose sum is σ = 3687760951056. Its totient is φ = 286440422400.

The previous prime is 1077407065439. The next prime is 1077407065457. The reversal of 1077407065440 is 445607047701.

1077407065440 is a `hidden beast` number, since 10 + 7 + 74 + 0 + 70 + 65 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 653571 + ... + 1606850.

It is an arithmetic number, because the mean of its divisors is an integer number (25609451049).

Almost surely, 2^{1077407065440} is an apocalyptic number.

1077407065440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077407065440 is an abundant number, since it is smaller than the sum of its proper divisors (2610353885616).

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

1077407065440 is a wasteful number, since it uses less digits than its factorization.

1077407065440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260773 (or 2260762 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 1077407065440 in words is "one trillion, seventy-seven billion, four hundred seven million, sixty-five thousand, four hundred forty".