1003400421255 has 64 divisors (see below), whose sum is σ = 1794691624320. Its totient is φ = 531888242688.

The previous prime is 1003400421241. The next prime is 1003400421269. The reversal of 1003400421255 is 5521240043001.

1003400421255 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 400 + 4 + 2 + 1 + 255 = 666.

It is an interprime number because it is at equal distance from previous prime (1003400421241) and next prime (1003400421269).

It is not a de Polignac number, because 1003400421255 - 2⁴ = 1003400421239 is a prime.

It is a super-2 number, since 2×1003400421255² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 126416647 + ... + 126424583.

It is an arithmetic number, because the mean of its divisors is an integer number (28042056630).

Almost surely, 2^{1003400421255} is an apocalyptic number.

1003400421255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1003400421255 is a deficient number, since it is larger than the sum of its proper divisors (791291203065).

1003400421255 is a wasteful number, since it uses less digits than its factorization.

1003400421255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13537 (or 13531 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1003400421255 its reverse (5521240043001), we get a palindrome (6524640464256).

The spelling of 1003400421255 in words is "one trillion, three billion, four hundred million, four hundred twenty-one thousand, two hundred fifty-five".