4011540601200 has 480 divisors, whose sum is σ = 14098070380032. Its totient is φ = 966991872000.

The previous prime is 4011540601157. The next prime is 4011540601267. The reversal of 4011540601200 is 21060451104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2496290797 + ... + 2496292403.

Almost surely, 2^{4011540601200} is an apocalyptic number.

4011540601200 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 4011540601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7049035190016).

4011540601200 is an abundant number, since it is smaller than the sum of its proper divisors (10086529778832).

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

4011540601200 is a wasteful number, since it uses less digits than its factorization.

4011540601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 4011540601200 in words is "four trillion, eleven billion, five hundred forty million, six hundred one thousand, two hundred".