10277230679040 has 1408 divisors, whose sum is σ = 39434581831680. Its totient is φ = 2258676744192.

The previous prime is 10277230679039. The next prime is 10277230679059. The reversal of 10277230679040 is 4097603277201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10852407847 + ... + 10852408793.

Almost surely, 2^{10277230679040} is an apocalyptic number.

10277230679040 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 10277230679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19717290915840).

10277230679040 is an abundant number, since it is smaller than the sum of its proper divisors (29157351152640).

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

10277230679040 is a wasteful number, since it uses less digits than its factorization.

10277230679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 10277230679040 in words is "ten trillion, two hundred seventy-seven billion, two hundred thirty million, six hundred seventy-nine thousand, forty".