40420198258272 has 240 divisors, whose sum is σ = 136053428620032. Its totient is φ = 11531911576320.

The previous prime is 40420198258261. The next prime is 40420198258331. The reversal of 40420198258272 is 27285289102404.

40420198258272 is a `hidden beast` number, since 4 + 0 + 42 + 0 + 19 + 8 + 2 + 582 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10925533 + ... + 14149475.

Almost surely, 2^{40420198258272} is an apocalyptic number.

40420198258272 is a gapful number since it is divisible by the number (42) 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 40420198258272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68026714310016).

40420198258272 is an abundant number, since it is smaller than the sum of its proper divisors (95633230361760).

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

40420198258272 is a wasteful number, since it uses less digits than its factorization.

40420198258272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224663 (or 3224646 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 40420198258272 in words is "forty trillion, four hundred twenty billion, one hundred ninety-eight million, two hundred fifty-eight thousand, two hundred seventy-two".