4011431200000 has 432 divisors, whose sum is σ = 11682245288448. Its totient is φ = 1345996800000.

The previous prime is 4011431199959. The next prime is 4011431200019. The reversal of 4011431200000 is 21341104.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263192380 + ... + 263207620.

It is an arithmetic number, because the mean of its divisors is an integer number (27042234464).

Almost surely, 2^{4011431200000} is an apocalyptic number.

4011431200000 is a gapful number since it is divisible by the number (40) 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 4011431200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841122644224).

4011431200000 is an abundant number, since it is smaller than the sum of its proper divisors (7670814088448).

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

4011431200000 is an frugal number, since it uses more digits than its factorization.

4011431200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15336 (or 15302 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 4011431200000 its reverse (21341104), we get a palindrome (4011452541104).

The spelling of 4011431200000 in words is "four trillion, eleven billion, four hundred thirty-one million, two hundred thousand".