40983001989120 has 640 divisors, whose sum is σ = 147282203486880. Its totient is φ = 10902566338560.

The previous prime is 40983001989119. The next prime is 40983001989157. The reversal of 40983001989120 is 2198910038904.

40983001989120 is a `hidden beast` number, since 40 + 9 + 8 + 300 + 198 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5879067235 + ... + 5879074205.

Almost surely, 2^{40983001989120} is an apocalyptic number.

40983001989120 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 40983001989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73641101743440).

40983001989120 is an abundant number, since it is smaller than the sum of its proper divisors (106299201497760).

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

40983001989120 is an frugal number, since it uses more digits than its factorization.

40983001989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7461 (or 7424 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 40983001989120 in words is "forty trillion, nine hundred eighty-three billion, one million, nine hundred eighty-nine thousand, one hundred twenty".