1210295264640 has 768 divisors, whose sum is σ = 4917974227200. Its totient is φ = 250342686720.

The previous prime is 1210295264621. The next prime is 1210295264653. The reversal of 1210295264640 is 464625920121.

It is a super-2 number, since 2×1210295264640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1210295264592 and 1210295264601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236984967 + ... + 236990073.

It is an arithmetic number, because the mean of its divisors is an integer number (6403612275).

Almost surely, 2^{1210295264640} is an apocalyptic number.

1210295264640 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 1210295264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458987113600).

1210295264640 is an abundant number, since it is smaller than the sum of its proper divisors (3707678962560).

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

1210295264640 is a wasteful number, since it uses less digits than its factorization.

1210295264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 1210295264640 in words is "one trillion, two hundred ten billion, two hundred ninety-five million, two hundred sixty-four thousand, six hundred forty".