40101903552000 has 1280 divisors, whose sum is σ = 144152423940096. Its totient is φ = 9861857280000.

The previous prime is 40101903551993. The next prime is 40101903552059. The reversal of 40101903552000 is 25530910104.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62561471680 + ... + 62561472320.

Almost surely, 2^{40101903552000} is an apocalyptic number.

40101903552000 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 40101903552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72076211970048).

40101903552000 is an abundant number, since it is smaller than the sum of its proper divisors (104050520388096).

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

40101903552000 is a wasteful number, since it uses less digits than its factorization.

40101903552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 40101903552000 in words is "forty trillion, one hundred one billion, nine hundred three million, five hundred fifty-two thousand".