1001004121440 has 96 divisors (see below), whose sum is σ = 3503514440160. Its totient is φ = 266934431232.

The previous prime is 1001004121373. The next prime is 1001004121463. The reversal of 1001004121440 is 441214001001.

1001004121440 is a `hidden beast` number, since 1 + 0 + 0 + 100 + 4 + 121 + 440 = 666.

1001004121440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1001004121440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115852639 + ... + 115861278.

It is an arithmetic number, because the mean of its divisors is an integer number (36494942085).

Almost surely, 2^{1001004121440} is an apocalyptic number.

1001004121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001004121440 is an abundant number, since it is smaller than the sum of its proper divisors (2502510318720).

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

1001004121440 is a wasteful number, since it uses less digits than its factorization.

1001004121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231713941 (or 231713927 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1001004121440 its reverse (441214001001), we get a palindrome (1442218122441).

The spelling of 1001004121440 in words is "one trillion, one billion, four million, one hundred twenty-one thousand, four hundred forty".