34400670007440 has 80 divisors (see below), whose sum is σ = 116336811306816. Its totient is φ = 8339556364800.

The previous prime is 34400670007411. The next prime is 34400670007493. The reversal of 34400670007440 is 4470007600443.

It is a tau number, because it is divible by the number of its divisors (80).

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, 6515275771 + ... + 6515281050.

Almost surely, 2^{34400670007440} is an apocalyptic number.

34400670007440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34400670007440 is an abundant number, since it is smaller than the sum of its proper divisors (81936141299376).

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

34400670007440 is a wasteful number, since it uses less digits than its factorization.

34400670007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13030556848 (or 13030556842 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

Adding to 34400670007440 its reverse (4470007600443), we get a palindrome (38870677607883).

The spelling of 34400670007440 in words is "thirty-four trillion, four hundred billion, six hundred seventy million, seven thousand, four hundred forty".