4074334344400 has 60 divisors (see below), whose sum is σ = 10027334357964. Its totient is φ = 1589984128000.

The previous prime is 4074334344343. The next prime is 4074334344401. The reversal of 4074334344400 is 44434334704.

It can be written as a sum of positive squares in 6 ways, for example, as 47633935504 + 4026700408896 = 218252^2 + 2006664^2 .

It is a super-2 number, since 2×4074334344400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4074334344401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124201111 + ... + 124233910.

Almost surely, 2^{4074334344400} is an apocalyptic number.

4074334344400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4074334344400 is an abundant number, since it is smaller than the sum of its proper divisors (5953000013564).

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

4074334344400 is a wasteful number, since it uses less digits than its factorization.

4074334344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248435080 (or 248435069 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 40.

The spelling of 4074334344400 in words is "four trillion, seventy-four billion, three hundred thirty-four million, three hundred forty-four thousand, four hundred".