4460261026452 has 192 divisors, whose sum is σ = 13056740573184. Its totient is φ = 1151252444160.

The previous prime is 4460261026381. The next prime is 4460261026493. The reversal of 4460261026452 is 2546201620644.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157075968 + ... + 157104360.

It is an arithmetic number, because the mean of its divisors is an integer number (68003857152).

Almost surely, 2^{4460261026452} is an apocalyptic number.

4460261026452 is a gapful number since it is divisible by the number (42) 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 4460261026452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528370286592).

4460261026452 is an abundant number, since it is smaller than the sum of its proper divisors (8596479546732).

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

4460261026452 is a wasteful number, since it uses less digits than its factorization.

4460261026452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29478 (or 29476 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 4460261026452 in words is "four trillion, four hundred sixty billion, two hundred sixty-one million, twenty-six thousand, four hundred fifty-two".