10219375117440 has 512 divisors, whose sum is σ = 37819179417600. Its totient is φ = 2603097649152.

The previous prime is 10219375117429. The next prime is 10219375117513. The reversal of 10219375117440 is 4471157391201.

10219375117440 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 93 + 7 + 5 + 117 + 440 = 666.

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

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, 295280617 + ... + 295315223.

It is an arithmetic number, because the mean of its divisors is an integer number (73865584800).

Almost surely, 2^{10219375117440} is an apocalyptic number.

10219375117440 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 10219375117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18909589708800).

10219375117440 is an abundant number, since it is smaller than the sum of its proper divisors (27599804300160).

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

10219375117440 is a wasteful number, since it uses less digits than its factorization.

10219375117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35401 (or 35383 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10219375117440 in words is "ten trillion, two hundred nineteen billion, three hundred seventy-five million, one hundred seventeen thousand, four hundred forty".