10258640315400 has 384 divisors, whose sum is σ = 34551241079040. Its totient is φ = 2511015936000.

The previous prime is 10258640315351. The next prime is 10258640315431. The reversal of 10258640315400 is 451304685201.

It is a super-2 number, since 2×10258640315400² (a number of 27 digits) contains 22 as substring.

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, 34365184 + ... + 34662416.

It is an arithmetic number, because the mean of its divisors is an integer number (89977190310).

Almost surely, 2^{10258640315400} is an apocalyptic number.

10258640315400 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 10258640315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17275620539520).

10258640315400 is an abundant number, since it is smaller than the sum of its proper divisors (24292600763640).

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

10258640315400 is a wasteful number, since it uses less digits than its factorization.

10258640315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297377 (or 297368 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 10258640315400 in words is "ten trillion, two hundred fifty-eight billion, six hundred forty million, three hundred fifteen thousand, four hundred".