1351034400978 has 24 divisors (see below), whose sum is σ = 2933203016016. Its totient is φ = 449427598200.

The previous prime is 1351034400943. The next prime is 1351034400979. The reversal of 1351034400978 is 8790044301531.

1351034400978 is a `hidden beast` number, since 1 + 3 + 510 + 3 + 4 + 40 + 0 + 97 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1351034400979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76424428 + ... + 76442103.

It is an arithmetic number, because the mean of its divisors is an integer number (122216792334).

Almost surely, 2^{1351034400978} is an apocalyptic number.

1351034400978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1351034400978 is an abundant number, since it is smaller than the sum of its proper divisors (1582168615038).

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

1351034400978 is a wasteful number, since it uses less digits than its factorization.

1351034400978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152867030 (or 152867027 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1351034400978 in words is "one trillion, three hundred fifty-one billion, thirty-four million, four hundred thousand, nine hundred seventy-eight".