77110401007434 has 64 divisors (see below), whose sum is σ = 170517674280960. Its totient is φ = 23137677604800.

The previous prime is 77110401007433. The next prime is 77110401007439. The reversal of 77110401007434 is 43470010401177.

It is a super-3 number, since 3×77110401007434³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77110401007392 and 77110401007401.

It is not an unprimeable number, because it can be changed into a prime (77110401007433) 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 31 ways as a sum of consecutive naturals, for example, 96984877 + ... + 97776720.

It is an arithmetic number, because the mean of its divisors is an integer number (2664338660640).

Almost surely, 2^{77110401007434} is an apocalyptic number.

77110401007434 is an abundant number, since it is smaller than the sum of its proper divisors (93407273273526).

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

77110401007434 is a wasteful number, since it uses less digits than its factorization.

77110401007434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194761795.

The product of its (nonzero) digits is 65856, while the sum is 39.

The spelling of 77110401007434 in words is "seventy-seven trillion, one hundred ten billion, four hundred one million, seven thousand, four hundred thirty-four".