1427025479040 has 1536 divisors, whose sum is σ = 6254003520000. Its totient is φ = 305752817664.

The previous prime is 1427025479023. The next prime is 1427025479041. The reversal of 1427025479040 is 409745207241.

1427025479040 is a `hidden beast` number, since 1 + 4 + 270 + 254 + 7 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427025479041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1721381346 + ... + 1721382174.

It is an arithmetic number, because the mean of its divisors is an integer number (4071616875).

Almost surely, 2^{1427025479040} is an apocalyptic number.

1427025479040 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 1427025479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127001760000).

1427025479040 is an abundant number, since it is smaller than the sum of its proper divisors (4826978040960).

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

1427025479040 is a wasteful number, since it uses less digits than its factorization.

1427025479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1427025479040 in words is "one trillion, four hundred twenty-seven billion, twenty-five million, four hundred seventy-nine thousand, forty".