10276462621440 has 1152 divisors, whose sum is σ = 39875228467200. Its totient is φ = 2496541409280.

The previous prime is 10276462621429. The next prime is 10276462621441. The reversal of 10276462621440 is 4412626467201.

It is a happy number.

10276462621440 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 6 + 4 + 626 + 2 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (10276462621441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3399423769 + ... + 3399426791.

It is an arithmetic number, because the mean of its divisors is an integer number (34613913600).

Almost surely, 2^{10276462621440} is an apocalyptic number.

10276462621440 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 10276462621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19937614233600).

10276462621440 is an abundant number, since it is smaller than the sum of its proper divisors (29598765845760).

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

10276462621440 is a wasteful number, since it uses less digits than its factorization.

10276462621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 10276462621440 in words is "ten trillion, two hundred seventy-six billion, four hundred sixty-two million, six hundred twenty-one thousand, four hundred forty".