40980401280 has 1920 divisors, whose sum is σ = 196781341680. Its totient is φ = 8026324992.

The previous prime is 40980401227. The next prime is 40980401291. The reversal of 40980401280 is 8210408904.

It can be written as a sum of positive squares in 8 ways, for example, as 17039647296 + 23940753984 = 130536^2 + 154728^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 561375324 + ... + 561375396.

Almost surely, 2^40980401280 is an apocalyptic number.

40980401280 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 40980401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98390670840).

40980401280 is an abundant number, since it is smaller than the sum of its proper divisors (155800940400).

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

40980401280 is a wasteful number, since it uses less digits than its factorization.

40980401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 40980401280 in words is "forty billion, nine hundred eighty million, four hundred one thousand, two hundred eighty".