10277767440 has 120 divisors (see below), whose sum is σ = 34779970368. Its totient is φ = 2719791360.

The previous prime is 10277767439. The next prime is 10277767477. The reversal of 10277767440 is 4476777201.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 39837 + ... + 148803.

Almost surely, 2^10277767440 is an apocalyptic number.

10277767440 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 10277767440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17389985184).

10277767440 is an abundant number, since it is smaller than the sum of its proper divisors (24502202928).

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

10277767440 is a wasteful number, since it uses less digits than its factorization.

10277767440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109117 (or 109108 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 10277767440 in words is "ten billion, two hundred seventy-seven million, seven hundred sixty-seven thousand, four hundred forty".