10948395625440 has 384 divisors, whose sum is σ = 42504119304192. Its totient is φ = 2306832998400.

The previous prime is 10948395625429. The next prime is 10948395625469. The reversal of 10948395625440 is 4452659384901.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 31846465 + ... + 32188415.

It is an arithmetic number, because the mean of its divisors is an integer number (110687810688).

Almost surely, 2^{10948395625440} is an apocalyptic number.

10948395625440 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 10948395625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21252059652096).

10948395625440 is an abundant number, since it is smaller than the sum of its proper divisors (31555723678752).

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

10948395625440 is a wasteful number, since it uses less digits than its factorization.

10948395625440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342722 (or 342714 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 10948395625440 in words is "ten trillion, nine hundred forty-eight billion, three hundred ninety-five million, six hundred twenty-five thousand, four hundred forty".