10419121440 has 576 divisors, whose sum is σ = 45676141056. Its totient is φ = 2102132736.

The previous prime is 10419121411. The next prime is 10419121481. The reversal of 10419121440 is 4412191401.

10419121440 is a `hidden beast` number, since 10 + 4 + 191 + 21 + 440 = 666.

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, 3012192 + ... + 3015648.

It is an arithmetic number, because the mean of its divisors is an integer number (79298856).

Almost surely, 2^10419121440 is an apocalyptic number.

10419121440 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 10419121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22838070528).

10419121440 is an abundant number, since it is smaller than the sum of its proper divisors (35257019616).

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

10419121440 is a wasteful number, since it uses less digits than its factorization.

10419121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10419121440 in words is "ten billion, four hundred nineteen million, one hundred twenty-one thousand, four hundred forty".