1041501350400 has 720 divisors, whose sum is σ = 4087755974016. Its totient is φ = 232972615680.

The previous prime is 1041501350387. The next prime is 1041501350437. The reversal of 1041501350400 is 40531051401.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88429312 + ... + 88441088.

Almost surely, 2^{1041501350400} is an apocalyptic number.

1041501350400 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 1041501350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043877987008).

1041501350400 is an abundant number, since it is smaller than the sum of its proper divisors (3046254623616).

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

1041501350400 is a wasteful number, since it uses less digits than its factorization.

1041501350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11869 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 1041501350400 in words is "one trillion, forty-one billion, five hundred one million, three hundred fifty thousand, four hundred".