1434116151000 has 512 divisors, whose sum is σ = 5421911040000. Its totient is φ = 348537945600.

The previous prime is 1434116150981. The next prime is 1434116151007. The reversal of 1434116151000 is 1516114341.

1434116151000 is a `hidden beast` number, since 1 + 4 + 3 + 41 + 1 + 615 + 1 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434116151007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27703141 + ... + 27754859.

It is an arithmetic number, because the mean of its divisors is an integer number (10589670000).

Almost surely, 2^{1434116151000} is an apocalyptic number.

1434116151000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434116151000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710955520000).

1434116151000 is an abundant number, since it is smaller than the sum of its proper divisors (3987794889000).

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

1434116151000 is a wasteful number, since it uses less digits than its factorization.

1434116151000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51841 (or 51821 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1434116151000 in words is "one trillion, four hundred thirty-four billion, one hundred sixteen million, one hundred fifty-one thousand".